WIAS Preprint No. 1947, (2014)

Local estimation of the noise level in MRI using structural adaptation


  • Tabelow, Karsten
    ORCID: 0000-0003-1274-9951
  • Voss, Henning U.
  • Polzehl, Jörg
    ORCID: 0000-0001-7471-2658

2010 Mathematics Subject Classification

  • 62G05 62P10


  • Magnetic Resonance Imaging, Noise estimation, Maximum Likelihood estimation




We present a method for local estimation of the signal-dependent noise level in magnetic resonance images. The procedure uses a multi-scale approach to adaptively infer on local neighborhoods with similar data distribution. It exploits a maximum-likelihood estimator for the local noise level. The validity of the method was evaluated on repeated diffusion data of a phantom and simulated data using T1-data corrupted with artificial noise. Simulation results are compared with a recently proposed estimate. The method was applied to a high-resolution diffusion dataset to obtain improved diffusion model estimation results and to demonstrate its usefulness in methods for enhancing diffusion data.

Appeared in

  • Med. Image Anal., 20 (2015) pp. 76--86.

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